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Finding the Fourth Proportional to 8,243.78, 12,367.49 and 4,086.05

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Solution

The fourth proportional to 8,243.78, 12,367.49 and 4,086.05 is: 6,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.78 : 12,367.49 = 4,086.05 : x
  2. Step 2: Convert to fraction form
    8,243.78/12,367.49 = 4,086.05/x
  3. Step 3: Cross multiply
    8,243.78x = 12,367.49 × 4,086.05
  4. Step 4: Simplify right side
    8,243.78x = 50,534,100.25
  5. Step 5: Solve for x
    x = 50,534,100.25/8,243.78
  6. Step 6: Final answer
    x = 6,129.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.